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Question

Evaluate: 2 × {17 - 2 × (10 - 5)}

The correct answer is

14

To evaluate the expression 2 × {17 - 2 × (10 - 5)}, we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Here's the step-by-step process:

  1. Simplify expressions inside the parentheses first:
    • The innermost parentheses is (10 - 5). Calculate: 10 - 5 = 5.
  2. Substitute the result back into the expression: 2 × {17 - 2 × 5}.
  3. Next, perform the multiplication:
    • Calculate 2 × 5 = 10.
  4. Update the expression: 2 × {17 - 10}.
  5. Now perform the subtraction:
    • Calculate 17 - 10 = 7.
  6. Update the expression with the new result: 2 × 7.
  7. Finally, perform the multiplication:
    • Calculate 2 × 7 = 14.

The evaluated result of the given expression is 14.

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Important Questions from Simplification

  1. If P = 0.3 × 0.3 + 0.03 × 0.03 - 0.6 × 0.03 and Q = 0.54, then  \(\rm \frac{P}{Q}\) is equal to:

  2. The value of \(\left(\frac{1}{2}\right)^{−2} \times\left(\frac{1}{3}\right)^{−2} \times\left(\frac{1}{4}\right)^{−2} \)  is

  3. The solution of the equation \(\frac{2}{3 x-4}+\frac{2}{2 x-6}=0 \) is:

  4. If \(\rm \sqrt{1225 \times \sqrt{32 \div x}}= 70\)  find the value of x.

  5. What will come in the place of question mark (?) in the given expression?

    \(\sqrt{21+\sqrt{49}+\sqrt{64}} \space {\%\:of\:5000}=?\)

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